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Finding the Third Proportional to 3,084,840 and 6,684,534

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Solution

The third proportional to 3,084,840 and 6,684,534 is: 14,484,704.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084,840 : 6,684,534 = 6,684,534 : x
  2. Step 2: Convert to fraction form
    3,084,840/6,684,534 = 6,684,534/x
  3. Step 3: Cross multiply
    3,084,840x = 6,684,534 × 6,684,534
  4. Step 4: Simplify right side
    3,084,840x = 44,682,994,797,156
  5. Step 5: Solve for x
    x = 44,682,994,797,156/3,084,840
  6. Step 6: Final answer
    x = 14,484,704.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.